Pith Number

pith:H3COWGKU

pith:2018:H3COWGKUGZIN3OROSYIKTB5WCX

not attested not anchored not stored refs pending

On the system of sets of lengths and the elasticity of submonoids of a finite-rank free commutative monoid

Felix Gotti

arxiv:1806.11273 v3 · 2018-06-29 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3COWGKUGZIN3OROSYIKTB5WCX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:41:02.348484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec4eb19543650ddba2e9610a987b615ceeadfd99ced0f5ed46ebf2a2cfd05c9

Aliases

arxiv: 1806.11273 · arxiv_version: 1806.11273v3 · doi: 10.48550/arxiv.1806.11273 · pith_short_12: H3COWGKUGZIN · pith_short_16: H3COWGKUGZIN3ORO · pith_short_8: H3COWGKU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H3COWGKUGZIN3OROSYIKTB5WCX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3ec4eb19543650ddba2e9610a987b615ceeadfd99ced0f5ed46ebf2a2cfd05c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "023414d6d1e293742bfe6814473deeb8762a4cd58dd2c11d85dffb09d4833899",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-06-29T05:52:40Z",
    "title_canon_sha256": "22efacfa889206082377fb4ef1e998f1b5611342b5c0807b3789794b6b3bb150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11273",
    "kind": "arxiv",
    "version": 3
  }
}